Question

If the average of 9 consecutive number is T. How much will the average increase by if the next 3 consecutive numbers are also added?
3
1.5
T
Can’t be determined

Answer 1

Answer:

1.5

Step-by-step explanation:

GIVEN - numbers are consecutive so they will form A.P.

TO FIND- the average increase

CONCEPT= Average of AP = (first term + last term) / 2

SOLUTION - there are 9 consecutive numbers, the average of them is Q

3 consecutive number is added, so now series contains a total of 12 terms.

First - term = Q - 4

Last - term = Q + 9

New average = (first term + last term) / 2

= (2Q+3) /2

= Q+1.5

Increase in average number = Q +1.5 -Q= 1.5

FINAL ANSWER - 1.5

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Answer 2

Answer: 1.5

Detailed explanation:

Given : that the numbers form the letters A.P., they are sequential.

TO DETERMINE: The average increase

Average of AP = (first term + last term) / 2 is the concept.

ANSWER: There are 9 numbers that consecutive each other, and their average is Q. The series now has a total of 12 terms after the addition of 3 consecutive numbers.

First term equals Q – 4.

Last term = Q plus nine

(First term + Last term) / 2 = New Average

= (2Q+3) /2

= Q+1.5

Therefore the  Average number increase is equal to Q + 1.5 - Q = 1.5.

FINAL RESPONSE: 1.5

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